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Finding the Third Proportional to 350,917.50 and 500,131.50

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Solution

The third proportional to 350,917.50 and 500,131.50 is: 712,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,917.50 : 500,131.50 = 500,131.50 : x
  2. Step 2: Convert to fraction form
    350,917.50/500,131.50 = 500,131.50/x
  3. Step 3: Cross multiply
    350,917.50x = 500,131.50 × 500,131.50
  4. Step 4: Simplify right side
    350,917.50x = 250,131,517,292.25
  5. Step 5: Solve for x
    x = 250,131,517,292.25/350,917.50
  6. Step 6: Final answer
    x = 712,792.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.